Curriculum and schedules
Elective courses

•  Simple correspondence analysis.
• Multiple correspondence analysis.
• Logistic regression (including methods for repeated measurements).
• Log-linear models.

1. Introduction to customer data analysis.

2. Customer life cycle and typologies of customer data.

3. Data sources for customer data analysis.

4. Databases and data warehouses of customer data.

5. Customer equity and customer lifetime value measurement

6. Customer profiling:

• RFM technique.

• Factor analysis.

• Cluster analysis.

7. Customer response modelling:

• Regression.

• Decision trees.

• Neural networks.

8. Market basket analysis.

9. Special topics in customer data analysis:

• Data mining and customer data analysis.

• Web mining and customer data analysis.

• Dealing with nominal data.

• Dealing with large datasets.

• Dealing with unbalanced datasets.

The course will be centred about the selected topics from the following research areas:

- data pre-processing, outlier detection, feature construction, discretization,

- feature subset selection,

- explorative data analysis, visualization, intelligent visualization techniques,

- predictive modelling (classification and regression) with emphasis on representative and state of the art techniques (Bayesian modelling, support vector machines, rule-based modelling),

- fundamentals of clustering techniques (hierarchical, k-means),

- association analysis,

- model evaluation and scoring,

- industrial, scientific, and business applications of data mining, fundamentals of text and web-mining,

- data mining tools, with emphasis on script-based approaches and visual programming frameworks.

• Modern approaches in survey methodology.

• Administrative sources and registers.

• Big data.

• Integration of multiple data sources.

• Other current issues of data collection in official statistics, e.g. response burden, automated data capture etc.

• Introduction: introduction to data mining and knowledge discovery in databases, relation with machine learning, visualization of data and models, presentation of the CRISP-DM knowledge discovery methodology.

• Data mining techniques: decision tree learning, learning classification and association rules, clustering, subgroup discovery, regression tree learning and relational data mining.

• Evaluation: presentation of search heuristics, heuristics for estimating the quality of induced patterns and models, and methodology for results evaluation.

• Practical training: practical use of selected data mining tools.

Data processing, protection and dissemination in official statistics:

• Methods and techniques of data editing, weighting, imputation and variance estimation.

• Data editing for time series analysis, preliminary estimates and revisions.

• Small area estimation.

• Statistical disclosure control and data confidentiality.

• Data description and visualisation, data mining and knowledge creation.

I. Demographic analysis

1. Longitudinal and cross-section analysis

2. Demographic processes: nuptiality, fertility, mortality and migration

3. Population growth and generations replacement

4. Population projections

5. General population development

6. Population policy and population economics

7. Population policy-relevant Principles of New Economy

II. Demographic models

8. Population dynamics models

9. Economic demographic models

10. Other demographic models

11. Demographic pressure on sustainability of the pension and health system in the future.

12. The use of demographic software

• Basic concepts.

• Simple experimental designs: characteristics, impementation, adventages and disadvantages.

• Compex experimental designs: characteristics, impementation, adventages and disadvantages.

• Statistical analysis: parametric and non parametric approach.

• Generalized linear models and their application for analysis of experiments.

1. Introduction to environmental statistics.
2. Spatial statistics.
3. Nonstationary spatial models.
4. Models defined by conditional distributions.
5. Design of monitoring networks.
6. Spatial-temporal statistics.
7. Trends in environmental time series.
8. Extreme values.

1. Theory of cost of living index.

2. Theory of index numbers in time series.

3. Elementary indices and index aggregation in several stages.

4. Productivity measurement.

5. Decomposition of index numbers.

6. Hedonic indices.

7. Indices in practice and issues of reliability.

 8. Construction of composite indicators.

a) pros and cons

b) steps for construction

c) a quality framework for composite indicators

 9. Toolbox for constructors.

 10. Composite indicators in practice:

a) New Economy indicators

b) key performance indicators

Internet research:

• Concepts of Internet mediated research.
• Reactive and non-reactive data collection methods.
• Ethical issues in internet mediated research.

Web surveys:

• Typology of web surveys.
• Software tools for web surveys.
• Probability and nonprobability samples in web surveys.
• Statistical inference on the basis of nonprobability samples.
• Web survey errors (sampling frame, measurement, nonresponse…).
• Web questionnaire design for various devices.
• Mixed-mode surveys.

Selected topics in Internet research:

• Technical measurement (log files, paradata, measuring movement and location, …) and big data.
• Introduction to online qualitative methods.
• Combining web-based quantitative and qualitative methods (mixed-methods).
• Human-computer interaction and web-based data collection.

Vector spaces

• Eigenvalues and eigenvectors

• Generalized inverses

• Systems of linear equations

  Optional material:

• Matrix factorizations and matrix norms

• Partitioned matrices

• Matrix derivatives

• Quadratic forms

Order Statistics.

Sufficiency and completeness.

Point estimation.

Hypothesis testing.

Sequential procedures.

Confidence regions.

Least square estimators.

Analysis of variance.

Nonparametric inference.

Introduction to Bayesian Statistics.

1. Empirical regression and the algebra of least squares.

2. The classical linear regression model and its generalization.

3. The likelihood function, statistical distributions and testing principles.

4. Asymptotic analysis: Stochastic convergence and asymptotic properties of estimators.

5. Estimation and testing in the generalized regression model.

1. Generalized linear regression models.

2. Time series models.

3. Discrete choice models and limited dependent variable models.

4. Panel data models.

5. Nonlinear regression and multivariate models.

1. Classical test theory:

- test score, true score and error;

- models and methods for reliability assessment ;

- practical uses of the reliability coefficient in test construction and score interpretation;

- reliability and the latent structure of a test.

2. Item response theory:

- fundamental measurement and the Rasch model;

- checking the model assumptions;

- other logistic models (for binary, ordered response and categorical items);

- multidimensional models; item factor analysis;

- test construction and adaptive testing;

- parallel forms construction and identification of DIF.

3. A review of other paradigms of the behavioural response measurement

1. The idea of multilevel modelling

• Sources of clustered data.
• Multilevel Theories.

2. Two level models

• Linear random intercept model.
• Linear random slopes model.

3. Three level variance component model

4. Cross level coefficients

5. Logistic random coeficient models

6. Logistic three level models

• Graphical representations of multivariate data
• Multiple regression
• Cluster analysis
• Principal component analysis
• Factor analysis
• Structural equation modeling
• Other methods based on available time:
  • Canonical correlation analysis
  • Discriminant analysis
  • Multidimensional scaling
  • Corespondence analysis
• Overview of some other multivariate methods

• Consistency between the systems of macroeconomic statistics and international comparability of economic aggregates,

• Satellite accounts of different areas of economic policy,

• Social accounting matrices (SAM) as statistical basis of models,

• Introducing age dimension into the system of national accounts,

• Transfers across generations,

• Unpaid household work by age: production, consumption and transfers,

• Population ageing and generational economy.

• Introduction, basic notions.
• Sources of networks and collection of network data.
• Quality of network measurement.
• Types and representations of networks, network analysis software.
• Structure of networks: connectivities, partitions, components, cuts, cores, reductions, pattern search.
• Measures of centrality and importance, islands.
• Valued networks, Markov chains as networks.
• Acyclic networks.
• Two-mode networks and multiplication of networks.
• Temporal networks.
• Clustering and blockmodeling.
• Statistical analysis and modeling of networks; scale free networks.
• Use of network analysis: genealogies, internet, text analysis, scientometrics,  etc.

1. Introduction to network analysis.

2. Interorganizational networks.

2.1 Interorganizational networks typology.

2.2 Data sources and data collection for interorganizational networks.

2.3 Interorganizational networks data analysis.

 3. Intraorganizational networks.

3.1 Types of networks: collaboration, knowledge flow...

3.2 Data sources and data collection for intraorganizational networks.

3.3 Network data collection through questionaires.

Reliability concepts and reliability data (reliability function, failure rate, repair rate, censoring, repairable systems, nonrepairable units, etc.).

Lifetime distribution models. Parametric models (Exponential, Weibull, Extreme Value, Lognormal, Gamma, Birnbaum-Saunders, etc.).

Repair rate models for repairable systems (homogeneous Poisson process, non-homogeneous Poisson processes).

Failure rates models (competing risk model, series model, the parallel or redundant model, r out of n model, standby model).

Choosing life distribution model, testing model assumptions, estimating parameters (Kaplan-Meier product limit procedure, likelihood ratio tests, maximum likelihood estimations etc.).

Graphical methods (probability plotting of complete data, of single censored data, and of multiply censored data).

Bayesian methods used in reliability (prior and posterior distribution models).

Acceleration test models and life tests (Arrhenius, Eyring, etc.).

Introduction to qualitative research: its placement in the research process in comparison with quantitative research, purpose and meaning.

Data sources for qualitative research.

Ethical dilemmas in the process of qualitative research.

Typologies of qualitative research methods.

Questioning-based qualitative research methods.

Observation-based qualitative research methods.

Sampling for qualitative research.

Analytical software support for qualitative research.

Qualitative research in practice.

Other emerging topics

Computer tools for microarray analysis (R, Bioconductor) and links to data bases and ontologies.

• Plan of experiment.
• Data preparation and preprocessing.
• Background correction.
• Normalization.
• Analysis of differential expression.
• Methods for discovery of related gene sets.
• Graphical data visualization.

• Advanced use of programming environment R.
• Computer oriented approach to statistical methods.
• Robust methods and EDA.
• Random number generators.
• Statistical simulation (Monte Carlo).
• Bootstrap and jacknife.
• Nonparametric estimation.
• Rejection sampling.
• One and multidimensional smoothing.
• Graphical presentation and visualization.
• Reproducible research and reports.

The course introduces relevant methodological and statistical topics from the perspective of statistical consulting, from the perspective of the associated implementations via supporting software, and from the perspective of reporting the results to quantitatively-literate and non-literate audience.

1. Introduction to statistical quality control.

2. Data sources for statistical quality control.

3. Sampling for statistical quality control.

4. Statistical process control

5. Control charts in theory and practice.

6. Experimental research and statistical quality control.

7. Statistical quality control in the service sector.

8. Statistical quality control in real time.

Importance and specifics of data in economics and business sciences.

Measurement in economics and business sciences.

• Concepts and their operationalization.

• Statistical standards.

• Data quality.

Data sources in economics and business sciences.

1. Stochastic processes.

- What is a stochastic process?

- How to describe a stochastic process?

2. Markov chains.

- Discrete time Markov chains.

- Classification of states.

- Strong Markov property.

- Stationary distributions.

- Ergodic properties of Markov chains.

- Monte Carlo simulation.

- Continuous time Markov chains.

- Continuous time Markov chains: examples of application.

3. Time series.

- Examples of time series.

- Stationary time series.

- Autocorrelation and partial autocorrelation.

- ARIMA models.

- Parameter estimation in ARIMA models.

- Kalman filter.

• Survey process and its phases (conceptualization, sampling, questionnaire…).

• Quality of data/processes and related concepts (e.g. TQM).

• Survey costs, errors, management and related concepts (e.g. TSE).

• Sampling and nonsampling errors (i.e. nonresponse, measurement, frame,…).

• Specifics of a survey process in academic, business and private sectors.

• Survey modes (personal, telephone, mail, web surveys…).

• Questionnaire design.

• Measurement, validity, reliability.

• Editing, coding, documenting, processing and archiving.

• Missing data:

  • classical approaches (ignoring, weighting, imputation) and

  • modeling approaches (ML, EM algorithm, Bayesian approach, MI).

• Data linking, statistical matching and data fusion.

• Introduction to data modeling.

• Guidelines, recommendations and professional standards (e.g. TDM).

• The concept of e-Social Sciences.

Statistical methods for solving problems in technical engineering:

Experimental design and sampling. Data presentation. Hypothesis tests. Regression and correlation. Analysis of experiments. Time series. Sampling plans and methods of statistical process control. Usage of statistical software packages for solving statistical problems in technical engineering.